Graphs Of Linear Inequalities Worksheet With Answers Page 7
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21We will choose to find the x- and y-intercepts of 12
−
x
−
3
y
= − .
9
−
12
x
−
3
y
= −
9
−
12
x
−
3
y
= −
9
( )
( )
−
12
x
−
3 0
= −
9
−
12 0
−
3
y
= −
9
−
12
x
= −
9
−
3
y
= −
9
3
x
=
y
=
3
4
3
A dashed line is drawn through the intercepts, which are located at
and (0, 3) .
, 0
4
We then need to decide whether to shade above or below the line. Instead of choosing a test
point, we can isolate the variable y on the left-hand side of 12
−
x
−
3
y
> − and determine which
9
half-plane to shade.
−
12
x
−
3
y
> −
9
−
3
y
>
12
x
−
9
Next, we divide by 3 − . When dividing by a negative number, we need to reverse the inequality.
y
< −
4
x
+
3
Since
y
< −
4
x
− , we shade below the line.
3
Math 1313
Page 7 of 21
Section 1.4
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